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Finding the Third Proportional to 2,913,494,912 and 6,408,120,568

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Solution

The third proportional to 2,913,494,912 and 6,408,120,568 is: 14,094,415,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,494,912 : 6,408,120,568 = 6,408,120,568 : x
  2. Step 2: Convert to fraction form
    2,913,494,912/6,408,120,568 = 6,408,120,568/x
  3. Step 3: Cross multiply
    2,913,494,912x = 6,408,120,568 × 6,408,120,568
  4. Step 4: Simplify right side
    2,913,494,912x = 41,064,009,214,024,646,656
  5. Step 5: Solve for x
    x = 41,064,009,214,024,646,656/2,913,494,912
  6. Step 6: Final answer
    x = 14,094,415,969.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.